A Theorem on the Minimum Modulus of Entire Functions.
Bo Kjellberg (1963)
Mathematica Scandinavica
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Bo Kjellberg (1963)
Mathematica Scandinavica
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We investigate the uniqueness of entire functions sharing values or small functions with their derivatives. One of our results gives a necessary condition on the Nevanlinna deficiency of the entire function f sharing one nonzero finite value CM with its derivative f'. Some applications of this result are provided. Finally, we prove some further results on small function sharing.